Answer:
The volume of water in the vase is [tex]64 in^3[/tex]
Step-by-step explanation:
A cylinder vase has a height, h, of 10 inches and its diameter of 3 inches. This means that its radius, r, is:
r = 3 / 2 = 1.5 inches
To find the volume of the water in the vase if the water raises to 9/10 of the way to the top, we first have to find the volume of the vase when it is filled with water and then, find 9/10 of that volume.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
The volume of the vase will be:
[tex]V = \pi * 1.5^2 * 10\\V = 70.69 in^3[/tex]
Hence, the volume of the water in the vase when it is 9/10 filled is:
[tex]\frac{9}{10} * 70.69 = 63.62 in^3[/tex]
Approximating to the nearest cubic inch, the volume of water in the vase is [tex]64 in^3[/tex]
